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# Catalogue record: 26721 — De motu in Epicyclo et de modo Mechanico producendi motum continuè acceleratum et retardatum, scilicet sine suppositione
# Incipit: Motus in Epicyclo saepe consideratur ab Astronomis,
# Date: 1683
# Akademie-Ausgabe: AA VIII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=26721&katnr=41164
# Work: https://leibnizlegible.com/work/00068140
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 16
# Folios: Bl. 10 (from the shelfmark LH 35, 9, 16 Bl. 10): 2 pages, canvases 19–20, page ids 00068140:0019 to 00068140:0020
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068140&page=19
# Lines: 76 recognised on 2 of 2 pages, mean confidence 0.91
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 10r — 00068140:0019
# Source image: https://digitale-sammlungen.gwlb.de/content/00068140/jpgs/default/00000019.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 71 lines, status machine
E
De Motuo in Epicycto et de modo Mechanico
producendi motum continue acceleratum et retardatum
scilice sine suppositione novae continud actionis
Motus in Epicyclo saepe consideratur ab Astronomis, sed
Geometrice magis quam physice id est e considerant
Cp
Avel data
potius quis calculus sequatur assumta certa proportione celeritatis
in ciuculo et in Epicullo, quam qualis ex haturalibus
causis ceerita provenire debeat caut exirgensol
ponatur ergo rota moveri firca suum axem etii in aliquo suae circum
ferentiae puncto affixam gerere rotam B.qu et ipsa in cujus circum=
ferentia sit corpus, seu nodus C. is movebitur in Epicyclo, id est
notu composito ex duobus uno circa centium A cum ct B alter
si navis subito sistatur circa B. Patetcantere quod
eu
puncto autem in Epicyclo
quaenaviaffixa moti sceleritas vera ex puncto aliquo immoto spectata varia
ouunt in alsterioa est. Ponamus enim Epicyclum moveri secundum ordinem punctorum DEFC.
potam ipsam secundum vidinem BH. patet punctum D movericeleriter
ceptum continuare composita scilicet celeritate motus circa A et circa B. at F moveri
peritangentem tarde, quia duo motus compositi sunt contravii unus a B versuH
aliqua causa coeren alter ab F versus G. itaque aliquod punctum reperietur quod
plane quiescet aliquod quod in contrariam potius partem
movebitur prout est celeritatum inter muos motus, grui
maris per
es Epicycli, proportio. Atque ista quidem ila perseverabur
Dactae sunt nullo externo superveniente
imotrque quem rotae semel habent retinebitur si sunt rotae
tamphidentiae seu utrinque similes. ed si quantum enim unum
vide culilaeum,
ubi aestum
punctum de motu amittit, tantum aliud acquirit omniaque compen
e
rotae sinte
conatur puta santur sed si in epicyclo sit Nodus laliquis ut C, duus ex
motum
terrae explicare
mocus sit tardi dosiso nullus alius aequalis respondeat, consequuntur irregularitate
maris non statiui complures. Nam cum punctum C est remotus ab A magnum
snodus
accipit impetum, lune vero dalata et proinde ut ille compensetur
elegins cousem nepesse est ipsius rotae A motum retardari, ne major sit vis in
gratio est, effectu quam in causa deinde cum C inter gyrandum redit prope
sd A ut circa F, tunt redit versus A, ut circa E, F. tunc deberet
deratione terum moveri tardius, verum corpus impetum semel conceptum non
facile dimittit, et proinde crescit celeritors rotationis, vel alterutim
vel potiusca utriusque. Eadem rursus retardabitur cubi corpus C versus 
si rotatio circa A, manent aquabilis ob causan
scilicet externam quad aequabilitatem cogat saltem rotatio
quae ad
rediait.
circa (B nunc a acelderabitur alternis nunc retardabitur.
sed mare quodammodi
exundare prortus ut
siqui mumvires
non sunt prona
verumat alia taceam,
si liquida pisum con-
non prohiberentur
quolarent. sin ab
tur, nec exundabunt
A quo
enim cum terrae
motum tamen iquidit
sisti cum terra,
qua sane p
et digna
q consi-
ulteriore.

## Folio 10v — 00068140:0020
# Source image: https://digitale-sammlungen.gwlb.de/content/00068140/jpgs/default/00000020.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 5 lines, status machine
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ILEIBNIZ BIBL
ACHSISCHE LANDESBIBLIO
135, 9, 16, [20]- 100